54757733775745 has 384 divisors, whose sum is σ = 95109677752320. Its totient is φ = 29383874150400.

The previous prime is 54757733775617. The next prime is 54757733775749.

54757733775745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54757733775745 - 2⁷ = 54757733775617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54757733775749) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42218760937 + ... + 42218762233.

It is an arithmetic number, because the mean of its divisors is an integer number (247681452480).

Almost surely, 2^{54757733775745} is an apocalyptic number.

54757733775745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54757733775745 is a deficient number, since it is larger than the sum of its proper divisors (40351943976575).

54757733775745 is a wasteful number, since it uses less digits than its factorization.

54757733775745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2246 counting only the distinct ones).

The product of its digits is 10588410000, while the sum is 76.

The spelling of 54757733775745 in words is "fifty-four trillion, seven hundred fifty-seven billion, seven hundred thirty-three million, seven hundred seventy-five thousand, seven hundred forty-five".